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100432142240100 = 2235211134437226381
BaseRepresentation
bin10110110101011110101110…
…001010011000100101100100
3111011121012220200011212121120
4112311132232022120211210
5101130440011403140400
6553333520022413540
730103661052444126
oct2665365612304544
9434535820155546
10100432142240100
112a00103a041270
12b3205092912b0
134406930906568
141ab2d27b43216
15b9270cdeeca0
hex5b57ae298964

100432142240100 has 144 divisors (see below), whose sum is σ = 317004119979456. Its totient is φ = 24346897344000.

The previous prime is 100432142240077. The next prime is 100432142240113. The reversal of 100432142240100 is 1042241234001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443528910 + ... + 443755290.

Almost surely, 2100432142240100 is an apocalyptic number.

100432142240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100432142240100 is an abundant number, since it is smaller than the sum of its proper divisors (216571977739356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100432142240100 is a wasteful number, since it uses less digits than its factorization.

100432142240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360846 (or 360839 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100432142240100 its reverse (1042241234001), we get a palindrome (101474383474101).

The spelling of 100432142240100 in words is "one hundred trillion, four hundred thirty-two billion, one hundred forty-two million, two hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 134437 226381 268874 403311 452762 537748 672185 679143 806622 905524 1131905 1344370 1358286 1478807 1613244 2016555 2263810 2490191 2688740 2716572 2957614 3360925 3395715 4033110 4436421 4527620 4980382 5659525 5915228 6721850 6791430 7394035 7470573 8066220 8872842 9960764 10082775 11319050 12450955 13443700 13582860 14788070 14941146 16978575 17745684 20165550 22182105 22638100 24901910 29576140 29882292 33957150 36970175 37352865 40331100 44364210 49803820 62254775 67914300 73940350 74705730 88728420 110910525 124509550 147880700 149411460 186764325 221821050 249019100 373528650 443642100 747057300 30433982497 60867964994 91301947491 121735929988 152169912485 182603894982 304339824970 334773807467 365207789964 456509737455 608679649940 669547614934 760849562425 913019474910 1004321422401 1339095229868 1521699124850 1673869037335 1826038949820 2008642844802 2282548687275 3043398249700 3347738074670 4017285689604 4565097374550 5021607112005 6695476149340 8369345186675 9130194749100 10043214224010 16738690373350 20086428448020 25108035560025 33477380746700 50216071120050 100432142240100